Pith Number

pith:CXXHGZU4

pith:2013:CXXHGZU4WE4NYLU3HUOTNXENLK

not attested not anchored not stored refs pending

Mahler measures as linear combinations of $L$-values of multiple modular forms

Detchat Samart

arxiv:1303.6376 v3 · 2013-03-26 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXXHGZU4WE4NYLU3HUOTNXENLK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:43:52.451308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ee73669cb138dc2e9b3d1d36dc8d5a904821946e9b6af3f4f4db3d57c24372

Aliases

arxiv: 1303.6376 · arxiv_version: 1303.6376v3 · doi: 10.48550/arxiv.1303.6376 · pith_short_12: CXXHGZU4WE4N · pith_short_16: CXXHGZU4WE4NYLU3 · pith_short_8: CXXHGZU4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CXXHGZU4WE4NYLU3HUOTNXENLK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 15ee73669cb138dc2e9b3d1d36dc8d5a904821946e9b6af3f4f4db3d57c24372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896ed8d3bc990704329a6712f7a346f4cddef1b83c1df3dfb9c28088c701bfd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-26T03:35:19Z",
    "title_canon_sha256": "7fb8b64541f513a1345600966615df6a8468658ef134ee1dc78a7d9082720906"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6376",
    "kind": "arxiv",
    "version": 3
  }
}